A wideband fast multipole accelerated boundary integral equation method for time‐harmonic elastodynamics in two dimensions

DOI10.1002/nme.4288zbMath1253.74122OpenAlexW2171657894MaRDI QIDQ4897998

Toru Takahashi

Publication date: 29 December 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4288

zbMATH Keywords

elastodynamicsscattering problemsphononic crystalsboundary element method (BEM)fast multipole method (FMM)subwavelengthboundary integral equation method (BIEM)

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

Fast and data sparse time domain BEM for elastodynamics ⋮ A low frequency elastodynamic fast multipole boundary element method in three dimensions ⋮ Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels ⋮ Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method ⋮ Fictitious eigenfrequencies in the BEM for interior acoustic problems ⋮ Two-dimensional FM-IBEM solution to the broadband scattering of elastic waves in a fluid-saturated poroelastic half-space ⋮ 2-D FM-IBEM simulation of broadband ground motions on near-fault mountain-valley coupling site ⋮ On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic \(\mathcal{H}\)-matrix accelerated boundary element methods ⋮ An efficient preconditioner for adaptive fast multipole accelerated boundary element methods to model time-harmonic 3D wave propagation ⋮ Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics ⋮ Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods

Uses Software

• Ooura

Cites Work

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